Least Common Multiple of 82/72, 26/34, 257/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/72, 26/34, 257/374 quickly i.e. 136981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/72, 26/34, 257/374 is 136981.

LCM(82/72, 26/34, 257/374) = 136981

LCM of 82/72, 26/34, 257/374

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 82/72,26/34,257/374

Given numbers are 82/72,26/34,257/374

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 82,26,257

Least Common Multiple of Numerators i.e. LCM of 82,26,257 is 273962.

GCF of Denominators means GCF of 72,34,374 as per the given fractions.

GCF of 72,34,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,26,257

LCM of Fractions 82/72,26/34,257/374 is 136981

2 82, 26, 257
41, 13, 257

∴ So the LCM of the given numbers is 2 x 41 x 13 x 257 = 273962

Least Common Multiple of 82,26,257 with GCF Formula

Least Common Multiple of 82,26,257 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,26,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,26,257) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,26,257) x common factors =1 x 2 = 2

LCM(82,26,257) = ( 82 × 26 × 257 ) / 2

LCM(82,26,257) = 547924 / 2

LCM(82,26,257) = 273962


Lets's calculate GCF of 72,34,374

2 72, 34, 374
36, 17, 187

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273962/2

Therefore the LCM of Fractions 82/72,26/34,257/374 is 136981

Greatest Common Factor of 72,34,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,34,374 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 72,34,374 . The biggest common factor number is the GCF number.
So the greatest common factor 72,34,374 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 82/72, 26/34, 257/374

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 82/72, 26/34, 257/374?

Answer: LCM of Numerators as per given numbers 82/72, 26/34, 257/374 is

LCM of Numerators i.e. for 82,26,257 is 273962

GCF of denominators i.e. for 72,34,374 is 2.

Thus, LCM of Fractions is 136981.Finally, LCM of Fractions for 82/72, 26/34, 257/374 is 136981.